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Finding the Third Proportional to 18,207 and 38,061

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Solution

The third proportional to 18,207 and 38,061 is: 79,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207 : 38,061 = 38,061 : x
  2. Step 2: Convert to fraction form
    18,207/38,061 = 38,061/x
  3. Step 3: Cross multiply
    18,207x = 38,061 × 38,061
  4. Step 4: Simplify right side
    18,207x = 1,448,639,721
  5. Step 5: Solve for x
    x = 1,448,639,721/18,207
  6. Step 6: Final answer
    x = 79,564.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.